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Finding the Third Proportional to 38,506 and 83,924

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Solution

The third proportional to 38,506 and 83,924 is: 182,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506 : 83,924 = 83,924 : x
  2. Step 2: Convert to fraction form
    38,506/83,924 = 83,924/x
  3. Step 3: Cross multiply
    38,506x = 83,924 × 83,924
  4. Step 4: Simplify right side
    38,506x = 7,043,237,776
  5. Step 5: Solve for x
    x = 7,043,237,776/38,506
  6. Step 6: Final answer
    x = 182,912.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.